Exponentials

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

The addition of interest to the principal sum of a loan or deposit is called compounding.

Exponentiation is a mathematical operation, written as bn, involving two numbers, the base b and the exponent n.

In mathematics, an exponential function is a function of the form in which the input variable x occurs as an exponent.

Half-life (abbreviated t1⁄2) is the time required for a quantity to reduce to half its initial value.

In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular functions.

Radioactive decay (also known as nuclear decay or radioactivity) is the process by which the nucleus of an unstable atom loses energy by emitting radiation, including alpha particles, beta particles, gamma rays, and conversion electrons.

In mathematics, a square is the result of multiplying a number by itself.

In mathematics, the exponential integral Ei is a special function on the complex plane.

In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function.

In probability theory and statistics, the exponential distribution (a.k.a. negative exponential distribution) is the probability distribution that describes the time between events in a Poisson process, i.

Exponential growth is a phenomenon that occurs when the growth rate of the value of a mathematical function is proportional to the function's current value, resulting in its growth with time being an exponential function.

In mathematics, tetration (or hyper-4) is the next hyperoperation after exponentiation, and is defined as iterated exponentiation.

In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another.

In combinatorial mathematics, a q-exponential is a q-analog of the exponential function,namely the eigenfunction of a q-derivative.

In probability and statistics, an exponential family is a set of probability distributions of a certain form, specified below.